Algebra
Solve the equation: 2𝑥+5=17
x=6
What is the formula for finding the area of a rectangle?
Length × Width
Define mean, median, and mode.
Mean is the average, median is the middle value when the data is arranged in ascending order, and mode is the value that appears most frequently.
What is the prime factorization of 36?
2^2×3^2
Convert 2 feet to inches.
24 inches
What is the slope-intercept form of a linear equation?
y=mx+b
Calculate the perimeter of a square with side length 6 units.
24 units
If you roll a fair six-sided die, what is the probability of rolling an even number?
1/2
Evaluate the expression when b = -3
b^2 + 5b + 9
3
If a rectangular prism has dimensions 4 cm, 5 cm, and 6 cm, what is its volume?
120 cubic centimeters
Evaluate the expression when n = -4
n^2 + 6n + 9
1
If two angles are supplementary and one angle measures 120 degrees, what is the measure of the other angle?
60 degrees
Calculate the mean of the following data set: 5, 7, 8, 10, 12.
8/5 or 1.6
Find the greatest common factor (GCF) of 24 and 36.
12
Convert 60 miles per hour to feet per second.
88 feet per second
Solve the system of linear equations of the form y=mx+b
y=4x + 11
y=x +38
x = 9
y = 47
What is the volume of a cube with side length 5 units?
125 cubic units
If you flip a fair coin three times, what is the probability of getting exactly two heads?
3/8
Solve for u.
4 = -5 + u
9
If the radius of a circle is 8 units, what is its circumference? Use 𝜋=3.14π=3.14.
50.24 units
Choose the statement that describes its solution. If applicable, give the solution.
-2(x + 2) + 7 = 3 (x + 6)
A) No Solution
B) x = ?
C) All Real Numbers Are Solutions
x = -3
If a triangle has side lengths 3, 4, and 5 units, is it a right triangle? Why or why not?
Yes, it is a right triangle because 32+42=52
Explain the difference between independent and dependent events in probability.
Independent events are events whose outcomes do not affect each other's probabilities, while dependent events are events where the outcome of one event affects the outcome of the other.
Solve for u.
-37 = -u/8
Simplify.
A right circular cone has a radius of 4 units and a height of 8 units. What is its volume?
128/3 or 134.04 cubic units